313033414232 has 128 divisors (see below), whose sum is σ = 755818905600. Its totient is φ = 117956995200.

The previous prime is 313033414231. The next prime is 313033414261. The reversal of 313033414232 is 232414330313.

It is a junction number, because it is equal to n+sod(n) for n = 313033414195 and 313033414204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313033414231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41606423 + ... + 41613945.

It is an arithmetic number, because the mean of its divisors is an integer number (5904835200).

Almost surely, 2^313033414232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313033414232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377909452800).

313033414232 is an abundant number, since it is smaller than the sum of its proper divisors (442785491368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313033414232 is a wasteful number, since it uses less digits than its factorization.

313033414232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9757 (or 9753 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 313033414232 its reverse (232414330313), we get a palindrome (545447744545).

The spelling of 313033414232 in words is "three hundred thirteen billion, thirty-three million, four hundred fourteen thousand, two hundred thirty-two".